What is expand ((x^2+4)^2)/((2x^3-1)^3) ?

The solution to expand ((x^2+4)^2)/((2x^3-1)^3) is (x^4+8x^2+16)/(8x^9-12x^6+6x^3-1)

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expand ((x^2+4)^2)/((2x^3-1)^3)

expand

\frac{( x ^{2} + 4 ) ^{2}}{( 2 x ^{3} - 1 ) ^{3}}

\frac{x ^{4} + 8 x ^{2} + 16}{8 x ^{9} - 12 x ^{6} + 6 x ^{3} - 1}

Solution steps

\frac{( x ^{2} + 4 ) ^{2}}{( 2 x ^{3} - 1 ) ^{3}}

(2 x^{3} - 1)^{3} = 8 x^{9} - 12 x^{6} + 6 x^{3} - 1

= \frac{( x ^{2} + 4 ) ^{2}}{8 x ^{9} - 12 x ^{6} + 6 x ^{3} - 1}

(x^{2} + 4)^{2} = x^{4} + 8 x^{2} + 16

= \frac{x ^{4} + 8 x ^{2} + 16}{8 x ^{9} - 12 x ^{6} + 6 x ^{3} - 1}

4 x^{4 x^{2}} (2 x ln (x) + x)

a b + (x - h)^{2} + k

\frac{\partial}{\partial x} ((f (x, y)) (y^{5} - 3 x y))

\frac{( 8 x ^{6} - 9 ) ^{2}}{576 x ^{6}}

2 (e + \frac{1}{e} - 2)

What is expand ((x^2+4)^2)/((2x^3-1)^3) ?
The solution to expand ((x^2+4)^2)/((2x^3-1)^3) is (x^4+8x^2+16)/(8x^9-12x^6+6x^3-1)